On the Equivalence and Generalization of Results Related to the Enestr\(\ddot{o}\)m-Kakeya Theorem
Abstract
This note explores a variant of the Enestr\(\ddot{o}\)m-Kakeya Theorem inspired by a question from Seiichi Kirikami. We provide two proofs for the result and establish its equivalence to the strict Enestr\(\ddot{o}\)m-Kakeya Theorem (Theorem 2.1). This equivalence suggests that many existing generalizations of the theorem may be expressed in various alternative forms, potentially leading to a wider range of related results.
Fields of Study & Subjects
Analytic and geometric function theory
Approximation Theory and Sequence Spaces
Holomorphic and Operator Theory
Publication details
- Journal / source
- Journal of Advances in Mathematics and Computer Science
- Volume
- 41
- Issue
- 2
- Pages
- 132–139
- Publication date
- 16 February 2026
- Language
- EN